"Field equations"-wave equations,velocity equations and energy equations-can represent the overall characteristic of the half space seismic wave field.This paper firstly pointed out that there is a field equation matrix for each of the equations.Secondly we analyzed and revealed that energy equations can be integrated into all field equation matrixes,and presented the generally adaptive expression of the energy equations based on the elastic matrix.At last the consistently symmetrical and positive definite properties between the energy matrices and the elastic matrices are clarified by using the theory of positive definite quadratic form of matrices.The physical meaning of the dynamical equilibrium relationships,velocity space-time distribution and energy propagation involved in the energy matrices can be described by the positive definite quadratic form of the energy matrices.The analytical methods and conclusions used and presented in this paper can be applied to such complex models as porous,viscoelastic and anisotropic medium.